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arXiv · 2501.11504

Corner embeddings into algebras of compact operators in $K$-theory

Bernhard Burgstaller
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Abstract

We show that in $K$-theory-like categories many corner embeddings into a discrete algebra of compact operators are invertible, and consequently functors on splitexact algebraic $KK$-theory are faithful if and only if they are faithful on the subcategory generated by the homomorphisms.

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Bernhard Burgstaller. 2025-01-20. Corner embeddings into algebras of compact operators in $K$-theory. https://arxiv.org/abs/2501.11504

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